Results 51 to 60 of about 2,203 (128)
, 2000 We present here an overview for the Encyclopaedia of Mathematics of the various forms and properties of this system of equations together with its geometric and Lie algebraic ...
Helminck, G.F.
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Communications in Computational Physics, 2019 We consider a midpoint scheme to approximate analytical solutions to a white noise driven BBM equation that reads du−duxx+ux◦dW+uuxdt=0. We prove the well-posedness of the time-discrete approximation scheme and we provide the strong error order, which is
Guillaume Fenger
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Forum of Mathematics, Sigma, 2015 We introduce a novel solution concept, denoted ${\it\alpha}$-dissipative solutions, that provides a continuous interpolation between conservative and dissipative solutions of the Cauchy problem for the two-component Camassa–Holm system on the line with ...
KATRIN GRUNERT +2 more
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Gevrey Regularity of the Global Attractor for Damped Forced KdV Equation on the Real Line
, 2018 We consider here a weakly damped KdV equation on the real line with forcing term that belongs to some Gevrey space. We prove that the global attractor is also contained into such a space of analytic functions.
O. Goubet
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Control and Stabilization of High-Order KdV Equation Posed on the Periodic Domain
Journal of Partial Differential Equations, 2018 In this paper, we study exact controllability and feedback stabilization for the distributed parameter control system described by high-order KdV equation posed on a periodic domain T with an internal control acting on an arbitrary small nonempty ...
Z. Meng
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The equations of some dispersionless limit [PDF]
, 1995 This short article presents a table of new equations which can be regarded as the generalized equations of the dispersionless limit of several nonlinear equations.
Son, Seung Hwan
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The periodic b-equation and Euler equations on the circle
, 2010 In this note we show that the periodic b-equation can only be realized as an Euler equation on the Lie group Diff(S^1) of all smooth and orientiation preserving diffeomorphisms on the cirlce if b=2, i.e. for the Camassa-Holm equation.
Arnold V. I. +2 more
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Soliton equations: admitted solutions and invariances via B\"acklund transformations [PDF]
Open Communications in Nonlinear Mathematical PhysicsA couple of applications of B\"acklund transformations in the study of nonlinear evolution equations is here given. Specifically, we are concerned about third order nonlinear evolution equations.
Sandra Carillo, Cornelia Schiebold
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Algebraic identities associated with KP and AKNS hierarchies [PDF]
, 2005 Explicit KP and AKNS hierarchy equations can be constructed from a certain set of algebraic identities involving a quasi-shuffle product.
arxiv +1 more source
Global well-posedness for KdV in Sobolev Spaces of negative index [PDF]
, 2001 The initial value problem for the Korteweg-deVries equation on the line is shown to be globally well-posed for rough data.
Colliander, J. +4 more
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